Physics Asked by xpda on July 28, 2021
This isn’t a duplicate to “Why did my liquid soda freeze once I pulled it out of the fridge?“. My question is why soda froze after it was opened. Opening a can or bottle seems to have a larger effect than just jostling it.
Is it because of the disturbance noted in the previous question? Is it related to the pressure decrease? Is it because of the release of some CO2 when it was opened?
It's not a disturbance, the liquid isn't supercooled in this case. It's right about at 0 degrees, though.
It isn't the pressure drop directly, because you can give an upper-bound estimate to how much cooling the pressure drop directly does based on the observation that the pressure is not more than a few atmospheres. That means that space the gas in the bottle gets multiplied by a factor of, say 10 (that's too big), and (kT times) the entropy gain per atom is
$kTDelta S = kT log(10)$
and kT is 1/30 eV, so you get at best 1/10 eV per gas atom. The density of gas on top is 1/300 the density of water, and the maximum total cooling from expanding that gas is negligible per atom of liquid. There is no significant cooling and heating in compressing a liquid, since essentially no work is done in the process, so the pressure drop does nothing to the liquid.
But the pressure drop makes the soda supersaturated with respect to its dissolved CO2, and this CO2 is outgassing from a liquid state to a gas state, and this is a huge gain in entropy. By outgassing the dissolved CO2 into bubbles, each CO2 atom gets a 300-fold increase of available volume to roam, and this can cool the liquid by
$kT log(300) approx {1over 4} eV $
So you get $.25 eV$ per released CO2 molecule, which is comperable to the binding energy of a water molecule. So each outgassed CO2 freezes order 1 H2O, and this freezes a network of filaments of water around the outgassed bubbles, making a slush.
Correct answer by Ron Maimon on July 28, 2021
Farenheit calibrated his thermometer to have 0 degrees be the freezing point of salt water. Fresh water freezes at 32F. Water with stuff dissolved in it freezes at a lower temperature than water with less stuff dissolved in it.
Another hypothesis for why soda freezes after opening is that when you open it some CO2 outgasses and less CO2 is dissolved in the water. This will raise the temperature at which the soda freezes.
It is possible that the soda was cooled to 27F, and that the freezing point of soda with lots of CO2 is 25F so it stays a liquid. When you open it, enough CO2 escapes to change the freezing point to 30F and some of the soda freezes.
A test would be to see if the soda gets colder or warmer when it is opened. In the example above, the soda would warm up from 27F to 30F when opened. My guess is that that a soda that freezes when opened will get slightly warmer, but that a soda that does not freeze when opened will get slightly cooler - so slightly that I doubt I could measure it.
Answered by Wade Satterfield on July 28, 2021
this is very simple. when a gas loses pressure it cools. when the top is removed from a carbonated drink gas is released which expands cooling the liquid enough to freeze. some time open the valve on a scuba tank. the air coming out will be cold, it is expanding. the same tank will get very hot while being filled. that is why they are placed in water tanks during filling.
Answered by jellero on July 28, 2021
It is because of the Ideal Gas Law, PV=nRT. The soda is in equilibrium inside the sealed bottle or can. But when you open it, that equilibrium is disturbed. The pressure is decreased so the temperature will also decrease.
Answered by Scott on July 28, 2021
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